We have to find the graph of f(x), given that the second derivative f''(x) is graphed in the first plot.
The second derivative is a line with a positive slope.
Then, the first derivative will be a quadrativie function. Given that the second derivative pass trough the origin, we will have a parabola with the y-axis as the axis of symmetry.
We don't know where the vertex will be located exactly, so we can not know exactly where f'(x) is positive or negative.
f(x) will be a cubic polynomial. It will have negative slope around x = 0 (where f'(x) < 0) and positive slope for values of x outside that interval (where f'(x) > 0).
A function that has this characteristics is Graph B.
Answer: f(x) is represented in Graph B.